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What is the Least Common Multiple of 92504 and 92513?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92504 and 92513 is 8557822552.

LCM(92504,92513) = 8557822552

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Least Common Multiple of 92504 and 92513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92504 and 92513, than apply into the LCM equation.

GCF(92504,92513) = 1
LCM(92504,92513) = ( 92504 × 92513) / 1
LCM(92504,92513) = 8557822552 / 1
LCM(92504,92513) = 8557822552

Least Common Multiple (LCM) of 92504 and 92513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92504 and 92513. First we will calculate the prime factors of 92504 and 92513.

Prime Factorization of 92504

Prime factors of 92504 are 2, 31, 373. Prime factorization of 92504 in exponential form is:

92504 = 23 × 311 × 3731

Prime Factorization of 92513

Prime factors of 92513 are 71, 1303. Prime factorization of 92513 in exponential form is:

92513 = 711 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 92504 and 92513.

LCM(92504,92513) = 23 × 311 × 3731 × 711 × 13031
LCM(92504,92513) = 8557822552